What exactly is wrong with the female portion of the connector? It looks okay unless there's a broken connection inside the connector. I presume the male connector is okay. You can replace the pins on many connectors without replacing the housing. If the wire is broken inside, you might be able to pop out the broken one (with a small pin probe) and solder or otherwise remake the connection.
I have, in the past, cut off the bad connector, crimped on a matching solderless connector to the individual wires and plugged the wires back into the circuit. Not on any ATV or UTV, but I have done it on my truck because the connector was more expensive that I thought is should be. Desperate times call for desperate measures.